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Finding the Fourth Proportional to 390,462.30, 585,693.45 and 232,868.70

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Solution

The fourth proportional to 390,462.30, 585,693.45 and 232,868.70 is: 349,303.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,462.30 : 585,693.45 = 232,868.70 : x
  2. Step 2: Convert to fraction form
    390,462.30/585,693.45 = 232,868.70/x
  3. Step 3: Cross multiply
    390,462.30x = 585,693.45 × 232,868.70
  4. Step 4: Simplify right side
    390,462.30x = 136,389,672,300.02
  5. Step 5: Solve for x
    x = 136,389,672,300.02/390,462.30
  6. Step 6: Final answer
    x = 349,303.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.